Question

Determine if the two figures below are congruent. Use the drop-down menus below to justify why. Which angle on Figure 2 corresponds to angle JJ on Figure 1?

Answer 1

"The two figures are congruent because rigid motions are used to map Figure 1 onto Figure 2.

"Angle corresponding to ∠J: ∠V

1) Counting the lengths of each side, (by the length of x, and the displacement in y) we can state that both figures are congruent.

Note that this is a rough way of measuring. Just considering the "rise/run" in each line segment.

2) Also, we can state that angle J is corresponding to angle ∠V in figure 2.

3) Thus we can answer that as:

"The two figures are congruent because rigid motions are used to map Figure 1 onto Figure 2.

"Angle corresponding to ∠J: ∠V